To determine which fertilizer is generally more effective, we should calculate the mean and median weights for each fertilizer group.
Fertilizer A: Weights: 27, 20, 16, 18, 22, 19, 23, 21, 17, 19
- Mean: \[ \text{Mean} = \frac{\text{Sum of weights}}{\text{Number of weights}} = \frac{27 + 20 + 16 + 18 + 22 + 19 + 23 + 21 + 17 + 19}{10} = \frac{ 27 + 20 + 16 + 18 + 22 + 19 + 23 + 21 + 17 + 19 = 202}{10} = 20.2 \]
- Median:
First, we arrange the weights in ascending order: 16, 17, 18, 19, 19, 20, 21, 22, 23, 27
The median is the average of the 5th and 6th values (19 and 20). \[ \text{Median} = \frac{19 + 20}{2} = 19.5 \]
Fertilizer B: Weights: 28, 19, 18, 21, 24, 20, 25, 27, 29, 21
- Mean: \[ \text{Mean} = \frac{28 + 19 + 18 + 21 + 24 + 20 + 25 + 27 + 29 + 21}{10} = \frac{ 28 + 19 + 18 + 21 + 24 + 20 + 25 + 27 + 29 + 21 = 212}{10} = 21.2 \]
- Median:
Arranging the weights in ascending order: 18, 19, 20, 21, 21, 24, 25, 27, 28, 29
The median is the average of the 5th and 6th values (21 and 24). \[ \text{Median} = \frac{21 + 24}{2} = 22.5 \]
Summary of Results:
- Fertilizer A: Mean = 20.2, Median = 19.5
- Fertilizer B: Mean = 21.2, Median = 22.5
Since both the mean and median weights for Fertilizer B are higher than those for Fertilizer A, we conclude that Fertilizer B is generally more effective.
Answer: Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.